Homework Statement
Hi
I want to derive the equation of kinetic energy for a mass on two springs .. Here is the figure of the system:
http://faculty.ndhu.edu.tw/~clcheng/class-98/gen-phy98/gen-phy98-1-Q2s.pdf
Am I doing right for calculating the kinetic energy for the mass on two springs ...
I have to find KE , it is required ..
I do want to find the equation of motion in terms of x for KE and PE and the force on the brick as a function of x ..
Iam sure it is moving in vertical direction ..
total energi = 1/2*m*(dx/dt)^2 + mgx +1/2*k*(x/sin(a) - L)^2 + 1/2*k*(x/sin(a) - L)^2
the kinetic energy is 1/2*m*(dx/dt)^2 ... Can we rewrite the kinetic energy equation in function of x instead of dx ?
So you mean that this F(x) = k*(x/sin(a) - L) + k*(x/sin(a) - L) is correct !
and KE(x)= 1/2*m*v^2 + 1/2*m*v^2 = KE(x)= 1/2*m*(dx/dt)^2 + 1/2*m*(dx/dt)^2
Is it like that?
thank you very much
Is that the force of the block in function of x is : F(x) = k*(x/sin(a) - L) + k*(x/sin(a) - L)
and the kinetic energy in function of x is : KE(x)= 1/2*m*v^2 + 1/2*m*v^2 (I cannot express it in x)
Is that correct ?
thanks